Dance of the Knights/Montagues and Capulets

Montagues and Capulets - also known as Dance of the Knights - was used as a playback introduction to Knights of Cydonia during the 2007 stadium leg. It is a classical piece with a predominant string section. You may recognise it as the theme tune to the BBC's The Apprentice. It can be seen here, along with Knights of Cydonia.
You can find a live version here. (Flac format, Live at Nimes Arena)
Muse started using the intro again for the EU leg of the Drones World Tour (excluding their performances in Paris) where it is used in combination with Drones, to open the sets.

JFK Speech

Appeared as an intro at some gigs in 2007. Muse bought the rights to use the song in the album Drones as an intro to Defector with a string arrangement playing in the background. The speech was shortened as opposed to the 2007 version. It was later used as an audio filler inbetween the sets on the gigs in 2015 and 2016, being an intro to Uprising, Revolt, Reapers and Stockholm Syndrome. The visuals display the spoken words.

What's He Building?

The whole song is originally from Tom Waits, and it described his noisy neighbours he had. The intro was, most notably, used by Muse on their Hullabaloo gig and also at their Reading and Leeds gigs.

Lyrics»

What's he building in there?

What the hell is he building
In there?
He has subscriptions to those
Magazines... He never
Waves when he goes by
He's hiding something from
The rest of us... He's all
To himself... I think I know
Why... He took down the
Tire swing from the Peppertree
He has no children of his
Own you see... He has no dog
And he has no friends and
His lawn is dying... and
What about all those packages
He sends. What's he building in there?
With that hook light
On the stairs. What's he building
In there... I'll tell you one thing
He's not building a playhouse for
The children what's he building
In there?

Now what's that sound from under the door?
He's pounding nails into a
Hardwood floor... and I
Swear to god I heard someone
Moaning low... and I keep
Seeing the blue light of a
T.V. show...
He has a router
And a table saw... and you
Won't believe what Mr. Sticha saw
There's poison underneath the sink
Of course... But there's also
Enough formaldehyde to choke
A horse... What's he building
In there. What the hell is he
Building in there? I heard he
Has an ex-wife in some place
Called Mayors Income, Tennessee
And he used to have a
consulting business in Indonesia...
but what is he building in there?
What the hell is building in there?

He has no friends
But he gets a lot of mail
I'll bet he spent a little
Time in jail...
I heard he was up on the
Roof last night
Signaling with a flashlight
And what's that tune he's
Always whistling...
What's he building in there?
What's he building in there?

We have a right to know...

The 2nd Law of Thermodynamics

The intro was specially made for Muse's Summer Stadium tour, it features a speech about the 2nd law of thermodynamics, followed by a robot voice saying "Unsustainable" and an explosion. Everything, except the explosion and the background noises are excerpts from the song The 2nd Law: Unsustainable.
After the intro, the band start playing Supremacy.

Lyrics»

All natural and technological processes

proceed in such a way that the availability
of the remaining energy decreases.

In all energy exchanges, if no energy
enters or leaves an isolated system,
the entropy of that system increases